A semigroup approach to Poisson approximation with respect to the point metric
From MaRDI portal
Publication:1903178
DOI10.1016/0167-7152(94)00188-EzbMath0832.62014MaRDI QIDQ1903178
Publication date: 26 November 1995
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Poisson distributionsmeasure of discrepancyindependent Bernoulli random variablessharp asymptotic formulae
Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Groups and semigroups of linear operators (47D03) Approximations to statistical distributions (nonasymptotic) (62E17)
Related Items (3)
Poisson approximation for expectations of unbounded functions of independent random variables ⋮ A Charlier-Parseval approach to Poisson approximation and its applications ⋮ Sharp constants in the Poisson approximation
Cites Work
- Unnamed Item
- Unnamed Item
- A semigroup approach to Poisson approximation
- Operator semigroups and Poisson convergence in selected metrics
- Asymptotic expansions in the Poisson limit theorem
- Precision of approximation of the generalized binomial distribution by convolutions of Poisson measures
- Poisson approximations in selected metrics by coupling and semigroup methods with applications
- A new semigroup technique in Poisson approximation
- On a relationship between Uspensky's theorem and Poisson approximations
- A general Poisson approximation theorem
- Poisson approximation for dependent trials
- On the convergence of Poisson binomial to Poisson distributions
- On Ch. Jordan's series for probability
- An approximation theorem for the Poisson binomial distribution
- On the rate of Poisson convergence
- Extremal processes, secretary problems and the 1/e law
- Some Elementary Results on Poisson Approximation in a Sequence of Bernoulli Trials
- Approximation of a Generalized Binomial Distribution
- Approximation der Verteilungen von Summen unabhängiger nichtnegativer ganzzahliger Zufallsgrößen durch Poissonsche Verteilungen
- Verallgemeinerung eines Satzes von Prochorow und Le Cam
- A unification of some approaches to Poisson approximation
This page was built for publication: A semigroup approach to Poisson approximation with respect to the point metric